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Question Number 145863 Answers: 1 Comments: 0

Question Number 145855 Answers: 0 Comments: 0

Question Number 145856 Answers: 1 Comments: 2

Question Number 145852 Answers: 1 Comments: 0

sin(π/(24))∙cos(π/(24))∙cos(π/(12))=?

$${sin}\frac{\pi}{\mathrm{24}}\centerdot{cos}\frac{\pi}{\mathrm{24}}\centerdot{cos}\frac{\pi}{\mathrm{12}}=? \\ $$

Question Number 145851 Answers: 2 Comments: 0

if lim_(x→∞) (((a-3)x^3 +4x^2 +cx+4)/(bx^2 +9x+7)) = (1/2) find a+b=?

$${if}\:\:\underset{{x}\rightarrow\infty} {{lim}}\frac{\left({a}-\mathrm{3}\right){x}^{\mathrm{3}} +\mathrm{4}{x}^{\mathrm{2}} +{cx}+\mathrm{4}}{{bx}^{\mathrm{2}} +\mathrm{9}{x}+\mathrm{7}}\:=\:\frac{\mathrm{1}}{\mathrm{2}} \\ $$$${find}\:\:{a}+{b}=? \\ $$

Question Number 145839 Answers: 0 Comments: 0

Question Number 145874 Answers: 1 Comments: 1

i want the formolla of taylor and maclorien series of this function (1)f(x)=ln(x ) (2)f(x)=sec(x) (3)f(x)=csc(x) (4)f(x)=cot(x) (5)f(x)=tan(x) (6)f(x)=sech(x) (7)f(x)=tanh(x) (8)f(x)=csch(x) (9)f(x)=coth(x) (10)f(x)=cosh(x) how can help me please

$${i}\:{want}\:{the}\:{formolla}\:{of}\:{taylor}\:{and}\:{maclorien}\: \\ $$$${series}\:{of}\:{this}\:{function} \\ $$$$\left(\mathrm{1}\right){f}\left({x}\right)={ln}\left({x}\:\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{2}\right){f}\left({x}\right)={sec}\left({x}\right) \\ $$$$ \\ $$$$\left(\mathrm{3}\right){f}\left({x}\right)={csc}\left({x}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{4}\right){f}\left({x}\right)={cot}\left({x}\right) \\ $$$$ \\ $$$$\left(\mathrm{5}\right){f}\left({x}\right)={tan}\left({x}\right)\:\:\:\:\:\:\:\:\:\:\:\:\:\:\left(\mathrm{6}\right){f}\left({x}\right)={sech}\left({x}\right) \\ $$$$ \\ $$$$\left(\mathrm{7}\right){f}\left({x}\right)={tanh}\left({x}\right)\:\:\:\:\:\:\:\:\left(\mathrm{8}\right){f}\left({x}\right)={csch}\left({x}\right) \\ $$$$ \\ $$$$\left(\mathrm{9}\right){f}\left({x}\right)={coth}\left({x}\right)\:\:\:\:\:\:\:\:\:\left(\mathrm{10}\right){f}\left({x}\right)={cosh}\left({x}\right) \\ $$$$ \\ $$$${how}\:{can}\:{help}\:{me}\:{please} \\ $$

Question Number 145835 Answers: 2 Comments: 0

lim_(x→(π/2)) (sin2x∙tgx)=?

$$\underset{{x}\rightarrow\frac{\pi}{\mathrm{2}}} {{lim}}\left({sin}\mathrm{2}{x}\centerdot{tgx}\right)=? \\ $$

Question Number 145831 Answers: 2 Comments: 0

A box P, contains 4 white, 2 green and 3 blue cards. Another box Q, contains 2 white, 3 green and 2 blue cards. A card is picked at random from P and placed in Q. A card is then picked from Q. Find the probability that the (a) card picked from Q is white. (b) cards picked from P and Q are of the same colour.

$$\:\mathrm{A}\:\mathrm{box}\:\boldsymbol{{P}},\:\mathrm{contains}\:\mathrm{4}\:\mathrm{white},\:\mathrm{2}\:\mathrm{green}\:\mathrm{and}\: \\ $$$$\:\mathrm{3}\:\mathrm{blue}\:\mathrm{cards}.\:\mathrm{Another}\:\mathrm{box}\:\boldsymbol{{Q}},\:\mathrm{contains} \\ $$$$\:\mathrm{2}\:\mathrm{white},\:\mathrm{3}\:\mathrm{green}\:\mathrm{and}\:\mathrm{2}\:\mathrm{blue}\:\mathrm{cards}.\:\mathrm{A}\:\mathrm{card} \\ $$$$\:\mathrm{is}\:\mathrm{picked}\:\mathrm{at}\:\mathrm{random}\:\mathrm{from}\:\boldsymbol{{P}}\:\mathrm{and}\:\mathrm{placed} \\ $$$$\:\mathrm{in}\:\boldsymbol{{Q}}.\:\mathrm{A}\:\mathrm{card}\:\mathrm{is}\:\mathrm{then}\:\mathrm{picked}\:\mathrm{from}\:\boldsymbol{{Q}}. \\ $$$$\:\mathrm{Find}\:\mathrm{the}\:\mathrm{probability}\:\mathrm{that}\:\mathrm{the} \\ $$$$\:\:\left({a}\right)\:\:\mathrm{card}\:\mathrm{picked}\:\mathrm{from}\:\boldsymbol{{Q}}\:\mathrm{is}\:\mathrm{white}. \\ $$$$\:\:\left({b}\right)\:\:\mathrm{cards}\:\mathrm{picked}\:\mathrm{from}\:\boldsymbol{{P}}\:\mathrm{and}\:\boldsymbol{{Q}}\:\mathrm{are}\:\mathrm{of} \\ $$$$\:\:\:\:\:\:\:\:\:\:\mathrm{the}\:\mathrm{same}\:\mathrm{colour}. \\ $$

Question Number 145828 Answers: 0 Comments: 0

∫(1/(x^α +a))dx

$$\int\frac{\mathrm{1}}{{x}^{\alpha} +{a}}{dx} \\ $$

Question Number 145814 Answers: 0 Comments: 0

Let f(x)={sin (tan^(−1) x)+sin (cot^(−1) x)}^2 −1 where ∣x∣>1 and (dy/dx)=(1/2)(d/dx)(sin^(−1) f(x)). if y((√3))=(Π/6) then y(−(√3))=?

$${Let}\:{f}\left({x}\right)=\left\{\mathrm{sin}\:\left(\mathrm{tan}^{−\mathrm{1}} {x}\right)+\mathrm{sin}\:\left(\mathrm{cot}^{−\mathrm{1}} {x}\right)\right\}^{\mathrm{2}} −\mathrm{1} \\ $$$${where}\:\mid{x}\mid>\mathrm{1}\:{and}\:\frac{{dy}}{{dx}}=\frac{\mathrm{1}}{\mathrm{2}}\frac{{d}}{{dx}}\left(\mathrm{sin}^{−\mathrm{1}} {f}\left({x}\right)\right). \\ $$$${if}\:{y}\left(\sqrt{\mathrm{3}}\right)=\frac{\Pi}{\mathrm{6}}\:{then}\:{y}\left(−\sqrt{\mathrm{3}}\right)=? \\ $$

Question Number 145822 Answers: 1 Comments: 1

find zeros function f(z)=1−cosz

$${find}\:{zeros}\:{function}\:{f}\left({z}\right)=\mathrm{1}−{cosz} \\ $$

Question Number 145820 Answers: 1 Comments: 3

find resideo e^((z+1)/z)